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ISRN Algebra
Volume 2012 (2012), Article ID 197468, 9 pages
http://dx.doi.org/10.5402/2012/197468
Research Article

Tensor Products of Noncommutative 𝐿𝑝-Spaces

Centre of Excellence in Mathematics, CHE, Si Ayutthaya RD, Bangkok 10400, Thailand

Received 27 January 2012; Accepted 1 March 2012

Academic Editor: F. Kittaneh

Copyright © 2012 Somlak Utudee. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. Q. Xu, Operator Spaces and Noncommutative Lp, Lecture in the Summer School on Banach Spaces and Operator Spaces, Nankai University, China.
  2. S. Strătilă and L. Zsidó, Lectures on von Neumann Algebras, Abacus Press, Tunbridge Well, Kent, UK, 1979.
  3. G. K. Pedersen, “The trace in semi-finite von Neumann algebras,” Mathematica Scandinavica, vol. 37, no. 1, pp. 142–144, 1975. View at Zentralblatt MATH
  4. M. Takesaki, Theory of Operator Algebras—I, Springer, Berlin, Germany, 2003.
  5. G. Pisier and Q. Xu, “Non-commutative Lp-spaces,” in Handbook of the Geometry of Banach Spaces, vol. 2, pp. 1459–1517, North-Holland, Amsterdam, The Netherlands, 2003. View at Publisher · View at Google Scholar
  6. U. Haagerup, “Lp-spaces associated with an arbitrary von Neumann algebra,” in Algèbres d'opérateurs et leurs applications en physique mathématique (Proc. Colloq., Marseille, 1977), vol. 274 of CNRS International Colloquium, pp. 175–184, CNRS, Paris, France, 1979. View at Zentralblatt MATH
  7. M. Terp, Lp Spaces Associated with von Neumann Algebras Notes, Mathematical Institute, Copenhagen University, 1981.
  8. U. Haagerup, M. Junge, and Q. Xu, “A reduction method for noncommutative Lp-spaces and applications,” Memoirs of the American Mathematical Society, vol. 331, pp. 691–695, 2000.